Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222x |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.2803674029459E+19 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 11- 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-405810,198945148] |
[a1,a2,a3,a4,a6] |
Generators |
[1049:29918:1] |
Generators of the group modulo torsion |
j |
-420021471169/727634952 |
j-invariant |
L |
6.9865770381722 |
L(r)(E,1)/r! |
Ω |
0.20084654752964 |
Real period |
R |
4.3482058343717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998826 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074r2 3366g2 |
Quadratic twists by: -3 17 |